where \(M\)  denotes the mass of the black
hole, and \(D\)  denotes the parameter of the dilation field. The
Hawking temperature is given by \(T=\frac{1}{8\pi (M-D)}\) .
The thermal Fermi-Dirac distribution of particles with Hawking temperature
\(T\)  was observed in Refs. [1]}, [2]}.
